Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

sample32.0ms

Algorithm

intervals

Results

13.0ms	65×	body	1280	valid
7.0ms	61×	body	640	valid
2.0ms	26×	body	320	valid
2.0ms	88×	body	80	valid
1.0ms	16×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	228	6
1	228	6

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 40.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
4.2b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (- (exp x) 1.0) x)
2.0ms	(- (exp x) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4909	534
1	4909	534

prune73.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0.0b

Counts

58 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (* x 1/6))
0.0b	(* x (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

3 → 51

Calls

3 calls:

3.0ms	(+ 1/2 (* x 1/6))
5.0ms	(* x (+ 1/2 (* x 1/6)))
3.0ms	(* x 1/6)

series11.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ 1/2 (* x 1/6))
5.0ms	(* x (+ 1/2 (* x 1/6)))
2.0ms	(* x 1/6)

simplify56.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4818	397
1	4818	397

prune60.0ms

Filtered

41 candidates to 60 candidates (-46.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0.0b

Counts

62 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (exp (- (exp x) 1.0))) x)
4.2b	(log (exp (- (exp x) 1.0)))
4.2b	(- (exp x) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
23×	`add-cube-cbrt`
9×	`associate-/l*`
8×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`log-prod`
3×	`associate-/r*`
2×	`sub-neg` `log-div` `exp-diff`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `diff-log` `div-sub` `div-exp` `rem-log-exp` `exp-sum` `clear-num` `flip--` `div-inv`

Counts

3 → 84

Calls

3 calls:

7.0ms	(/ (log (exp (- (exp x) 1.0))) x)
6.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series8.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (log (exp (- (exp x) 1.0))) x)
2.0ms	(log (exp (- (exp x) 1.0)))
2.0ms	(- (exp x) 1.0)

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4899	845
1	4899	845

prune88.0ms

Filtered

64 candidates to 93 candidates (-45.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0.0b

Counts

95 → 2

regimes29.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 21.2b

bsearch12.0ms

Steps

Iters	Range		Point
9	-13.586541088973341	-9.139359950533796e-08	-0.00019477961794534852

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	21
1	31	21

end0.0ms

sample914.0ms

Algorithm

intervals

Results

444.0ms	2303×	body	1280	valid
202.0ms	1595×	body	640	valid
71.0ms	869×	body	320	valid
67.0ms	2806×	body	80	valid
23.0ms	427×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample32.0ms

simplify11.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series7.0ms

simplify42.0ms

prune73.0ms

localize6.0ms

rewrite12.0ms

series11.0ms

simplify56.0ms

prune60.0ms

localize7.0ms

rewrite20.0ms

series8.0ms

simplify57.0ms

prune88.0ms

regimes29.0ms

bsearch12.0ms

simplify1.0ms

end0.0ms

sample914.0ms

Profiling